An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine

Bibliographic Information

An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine

Vincenzo Capasso, David Bakstein

(Modeling and simulation in science, engineering & technology)

Birkhäuser, c2005

Available at  / 19 libraries

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Note

Includes bibliographical references (p. [325]-330) and index

Description and Table of Contents

Description

This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. Balancing theory and applications, the authors use stochastic methods and concrete examples to model real-world problems from engineering, biomathematics, biotechnology, and finance. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. The book will be of interest to students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, physics, and engineering.

Table of Contents

Preface Part I. The Theory of Stochastic Processes Fundamentals of Probability Stochastic Processes The Ito Integral Stochastic Differential Equations Part II. The Applications of Stochastic Processes Applications to Finance and Insurance Applications to Biology and Medicine Part III. Appendices A. Measure and Integration B. Convergence of Probability Measures on Metric Spaces C. Maximum Principles of Elliptic and Parabolic Operators D. Stability of Ordinary Differential Equations References

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Details

  • NCID
    BA70517820
  • ISBN
    • 0817632344
  • LCCN
    2003063634
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Boston, MA
  • Pages/Volumes
    xi, 343 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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